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Question

If y=ex cos x and y4+ky=0, where y4=d4ydx4, then k=

A
4
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B
-4
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C
2
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D
-2
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Solution

The correct option is A 4
y=excos xy1=ex sin xexcos x=ex sin xyy2=ex cos x+exsin xy1y2=yy1+exsin xy2=2(y+y1)y3=2(y1+y2)y3=2(exsin xy)y4=2y12y2y2y1or y4+4y=0k=4

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